My Porsche 959 had some serious instability issues during braking, so I spent the evening trying to fix that. It turned out pretty well in the end, even trailbraking works nicely. Here's a lap around the Nordschleife:
The instability was fixed by increasing the natural frequency of the front suspension (I figured that under hard braking the front was effectively much softer than the rear due to the weight shift) and by having a little toe-out in the front. I also increased the strength of the LSD while braking.